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Q: Define or describe each set of real numbers?

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define the component of real numbers

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Can you find a real-world situation that numbers don't describe? From the numbers on your alarm clock to the numbers on your house, to the bus you ride to work, to the numbers on the phone as you order takeout, to the prices at the grocery store, to your bar tab, it's all numbers.

It is a bit hard to define them - and the exact definitions are a bit formal. It is best to think of real numbers as the equivalent of all points on a straight line, infinite in both directions.

natural numbers

The set of real numbers is the union of the set of rational and irrational numbers. But there are so many other ways to describe it. Real numbers can be constructed as Dedekind cuts of rational numbers. The set of real numbers can also be viewed as the set of equivalence classes of Cauchy sequences of rational numbers Some people like the definition, that the real numbers are all the numbers which can be expressed as decimals.

The answer depends on what are meant to be real numbers! If all the coefficients are real and the matrix of coefficients is non-singular, then the value of each variable is real.

Mathematics is beautiful in itself. Back in the 1700s and later, mathematicians studied "imaginary" numbers (numbers that involve a factor of the square root of -1) knowing that they didn't describe anything "real", the way "real numbers" do. But when beauty can be melded to practicality, things get REALLY interesting. It turns out that you can use imaginary numbers and "complex numbers" (which have a "real" component and an "imaginary" component) to describe the way radiation and electromagnetic fields behave.

On the set of all real numbers ZERO has no multiplicative inverse. For other sets there may be other numbers too, so please define your set!

Real numbers have the two basic properties of being an ordered field, and having the least upper bound property. The first says that real numbers comprise a field, with addition and multiplication as well as division by nonzero numbers, which can be totally ordered on a number line in a way compatible with addition and multiplication. The second says that if a nonempty set of real numbers has an upper bound, then it has a least upper bound. These two together define the real numbers completely, and allow its other properties to be deduced.

In Real numbers, each is the additive inverse of the other.

No, there is no smallest decimal number. Decimal numbers represent real numbers and between any two real numbers there are infinitely many other real numbers. So, there are infinitely many decimal numbers between 0 and your 1.21: each one will be smaller than 1.21

No, there is no smallest decimal number. Decimal numbers represent real numbers and between any two real numbers there are infinitely many other real numbers. So, there are infinitely many decimal numbers between 0 and your 1.02: each one will be smaller than 1.02

this is math

The simplest answer is that the domain is all non-negative real numbers and the range is the same. However, it is possible to define the domain as all real numbers and the range as the complex numbers. Or both of them as the set of complex numbers. Or the domain as perfect squares and the range as non-negative perfect cubes. Or domain = {4, pi} and range = {8, pi3/2} Essentially, you can define the domain as you like and the definition of the range will follow or, conversely, define the range and the domain definition will follow,

All integers are real numbers.

what is schematic diagram of real numbers and the definition of each term..?

Yes, all natural numbers are real numbers. Natural numbers are a subset of real numbers, so not all real numbers are natural numbers.

When we investigate the real numbers, we often use the concept of the real number line. This line will have a distinct point on it for each real number, and will divided by the number zero. To the right of zero, we'll have the positive real numbers, while on the left of zero, we'll find the negative real numbers. The line will extend to infinity in each direction. These are the foundations for the study of the real numbers. All we need now is the unit length which will allow us to locate the number 1 on the real number line. From there, we're off and running; we can locate any other number we care to find. They're all on the line.

Natural (counting) numbers; integers; rational numbers; real numbers; complex numbers. And any other set that you choose to define, that happens to include the number 7 - for example, the set of odd numbers, the set of prime numbers, the set of the numbers {5, 7, 14, 48}, etc.

You must remember that complex numbers need two parts - a real and an imaginar part, so you have to define fields for these parts. You also need to define methods at least for the basic operations, such as addition, subtraction, multiplication and division. You may also want to define methods for more advanced operations, such as trigonometric functions and the exponential function and natural logarithm, all of which have special definitions in the case of complex numbers.

Prime numbers are related with composite numbers as they are both natural numbers and real numbers and also every composite number is a product of prime numbers due to which they are related with each other.For example 24=[2] [2] [3] [2].Here 24 is a composite number,real number and natural number and 2,2,3,2 are prime numbers and also they are real and natural numbers

There are many characteristics that define the luxury real estate market. Characters that define the luxury real estate market include great customer service and expensive rates.

There are infinitely many real numbers between -6 and 6. And between each pair of those, there are infinitely many real numbers, and between each pair of those ...Therefore, it is impossible to list them all.

"zillion" is not a real number. It is just a word invented to describe very large, unspecified numbers.

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